Why did Nixon try to forge a peace agreement with the North Vietnamese & what did the U.S. agree to in the final peace agreement?Terms of the final peace agreement...
Nixon understood that the war was unwinnable. Not a single rationale could be used to easily explain how the conflict could result in an American victory. There were scenarios where America could win, but these depictions would either be nearly impossible to explain to the public or would embrace means that would have completely demonized the President. Nixon's desire to forge a peace agreement came out of these premises. The end game that resulted in Vietnam called for an end to the fighting throughout South East Asia and for a withdrawal of U.S. troops in the region, as well as all American prisoners of war returned. North Vietnamese troops would remain in the region.
Nixon tried to make a peace treaty with the North Vietnamese because he wanted out of the Vietnam War. He did not just want to leave, though -- he wanted it to look like it was "peace with honor."
The basic agreement was that the US would pull its troops out of South Vietnam and that the South Vietnam government would remain in power. However, the North Vietnamese did not agree to take their troops out of South Vietnam and they did not agree to stop trying to overthrow the South.